Results 61 to 70 of about 68,838 (163)

Variational Modeling of Porosity Waves

PAMM, Volume 26, Issue 1, March 2026.
ABSTRACT Mathematical models for finite‐strain poroelasticity in an Eulerian formulation are studied by constructing their energy‐variational structure, which gives rise to a class of saddle‐point problems. This problem is discretized using an incremental time‐stepping scheme and a mixed finite element approach, resulting in a monolithic, structure ...
Andrea Zafferi, Dirk Peschka
wiley   +1 more source

Periodic trajectories for evolution equations in Banach spaces

Electronic Journal of Differential Equations, 2005
The existence of periodic solutions for the evolution equation $$ y'(t)+Ay(t) i F(t,y(t)) $$ is investigated under considerably simple assumptions on $A$ and $F$.
Mircea D. Voisei
doaj  

Convergence properties of dynamic mode decomposition for analytic interval maps

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source

Nörlund means of the sequence of the iterates of a bounded linear operator, and spectral properties [PDF]

Mathematica Bohemica
We are concerned here with relating the spectral properties of a bounded linear operator $T$ on a Banach space to the behaviour of the means $(1/{s(n)})\sum_{k=0}^n(\Delta s)(n-k)T^k$, where $s$ is a nondecreasing sequence of positive real numbers, and $\
Laura Burlando
doaj   +1 more source

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

Mathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

Semi-analytical approximation of the normal derivative of the heat simple layer potential near the boundary of a two-dimensional domain [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
A semi-analytical approximation of the normal derivative of the simple layer heat potential near the boundary of a two-dimensional domain with $C^{5} $ smoothness is proposed.
Ivanov, Dmitrii Yurievich
doaj   +1 more source

Strictly Positive Solutions of Neumann Boundary Value Problems and Applications to Duffing Type Models

Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1943-1956, February 2026.
ABSTRACT The existence of one or two strictly positive solutions of Neumann boundary value problems is studied in this paper where the nonlinearities are L1$$ {L}^1 $$‐Carathéodory functions, so they are not necessarily continuous. Additional weaker and better conditions than those used in previous results are posted on the nonlinearities to obtain ...
Kunquan Lan, Gustavo Cicchini Santos
wiley   +1 more source

Cylindrical Wiener processes

, 2008
In this work cylindrical Wiener processes on Banach spaces are defined by means of cylindrical stochastic processes, which are a well considered mathematical object.
Riedle, Markus
core  

Dissipative energy functionals of passive linear time‐varying systems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov functions, depending on the setting, are extremely valuable to analyze and control the behavior of dynamical systems, but in general circumstances they are very ...
Riccardo Morandin, Dorothea Hinsen
wiley   +1 more source

Uniqueness of Solution of the Inverse Problem with Overdetermination of the Raised Type for an Abstract Second-order Differential Equation

Известия Иркутского государственного университета: Серия "Математика"
We consider a linear inverse problem for a second-order abstract differential equation in a Banach space. The inhomogeneous term of the equation does not depend on time and is unknown.
M. Almohamed
doaj   +1 more source